I would say...
it is an interesting questions and the answer lies in cultural differences in my opinion.

I have come to understand that... our profession is very diverse....
Every country has their own opinion of what physiotherapy or physical therapy is. Having worked in Spain, Germany and Holland, I know of these countries and believe me there are HUGH differences in these countries alone. I sometimes see questions on this forum from your part of the world about physical agents that have made me think.... are they still using all of that stuff??????
In Spain they are, but not in Holland.

Maybe a paper about all the cultural differences (as background) to your question might be very interesting for all of us.

Here in Spain, massage is seen as belonging to our profession only and nobody else is allowed to give a massage!!! In Germany and Holland and in many other countries, it is another profession with education from 8 weeks (for everybody) to 3-4 yrs university education to become a medical massage therapist.

For more information you will have to go to all the professional organisations. You can find them all on Welcome to the World Confederation for Physical Therapy website | WCPT.org

good luck
Esther